How do guys feel about being chased by a girl?

Okay, so this question is probably especially focused towards shy guys.

I get quite a bit of attention from guys and am used to being pursued, but recently I met a nice, shy guy that I totally clicked with and feel like there's a lot of romantic potential with. However, because he outright admitted he was shy, I had to make the first move and ask him out on a date - something that was new for me.

He said he was so relieved because he was interested in me but was afraid of rejection. We've gone out a couple times now, and while I really do like him, I find that I have to do a lot of initiating with contacting, setting dates, and physical intimacy despite the fact that he claims he's interested in me.

My problem is, while I understand he's shy, I'm afraid that if I'm the one chasing him he's going to lose interest or something. I've noticed that he does a lot of ping-ponging, like giving me a lot of attention, then pulling away for a bit, then slowly taking a step forward, then backing up again. It's so frustrating! I'm trying to move slowly, but at the same time it's like I have to be the hunter instead of him. And I've already told him if my interest isn't reciprocated, tell me up front, so I can move on. But he tells me he's interested.

So how do guys honestly feel about being chased by a girl? Is it a turn-off? Is it normal for them to pull away and come back again this way? And when it comes to those shy, nice guys who seem so much harder to get to know, is it better to back off and give them their space until they come to your or is it better to show interest and be persistent without being forceful/demanding?
How do guys feel about being chased by a girl?
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